Given numbers are 326,414,400

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 326,414,400 is 13496400.

Find LCM of 326,414,400 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 163 x 207 x 200 = 13496400

Therefore, the lowest common multiple of 326,414,400 is 13496400.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

326 x 414 x 400 = 53985600

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

326 : 1, 2, 163, 326

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,414,400, is 2.

Now, the common factors can be found like this.

326:2x 163

414:2x 3x 3x 23

400:2x 2x 2x 2x 5x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 53985600/(2x2)

LCM = 53985600/4

LCM = 13496400

Thus, we can understand that the LCM of 326,414,400 is 13496400.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 789, 902, 487
• LCM of 994, 791, 368
• LCM of 527, 402, 754
• LCM of 493, 677, 134
• LCM of 733, 908, 728

1. What is the LCM of 326, 414, 400?

Answer: LCM of 326, 414, 400 is 13496400.

2. How to calculate the LCM of 326, 414, 400?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 326, 414, 400.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.